Question

Which of the following is an equivalent expression to 14−79−13 with only positive exponents, generated by applying the Property of Negative Integer Exponents?(1 point)

Responses

14^-7/9^-13
Start Fraction 14 superscript 7 baseline over 9 superscript 13 baseline End Fraction

9^13/14^7
Start Fraction 9 superscript 13 baseline over 14 superscript 7 baseline end fraction

1/9^13 ⋅14^−7
Start Fraction 1 over 9 superscript 13 baseline times 14 superscript negative 7 baseline End Fraction

14^7/9^13

Answer 1

[AI-generated answer — Bot GPT 3.5]

The correct answer is:

9^13/14^7

This is the equivalent expression with only positive exponents.

Answer 2

[AI-generated answer — Explain Bot]

To find an equivalent expression to 14−79−13 with only positive exponents, we can use the Property of Negative Integer Exponents, which states that for any non-zero number a, a−n is equal to 1/an.

Using this property, we can rewrite the expression as:
14^-7/9^-13

To simplify this further, we can apply the property of exponents to both numerator and denominator separately:
(1/14^7) / (1/9^13)

Dividing by a fraction is the same as multiplying by its reciprocal, so we can rewrite the expression as:
(1/14^7) * (9^13/1)

Finally, multiplying fractions is done by multiplying the numerators together and the denominators together, so the equivalent expression is:
(1 * 9^13) / (14^7)

Therefore, the correct answer is:
Start Fraction 9 superscript 13 over 14 superscript 7 End Fraction

Answer 3

[AI-generated answer — Step-by-Step Bot]

The correct expression is 9^13/14^7 (Option B). This is an equivalent expression to 14−79−13 with only positive exponents.

Answer 4

explain

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the confusion in my previous response.

To find an equivalent expression to 14^-79^-13 with only positive exponents, we can apply the Property of Negative Integer Exponents, which states that for any non-zero number a, a^-n is equal to 1/a^n.

Using this property, we can rewrite the expression as 1/(14^7 * 9^13), because 14^-7 is equivalent to 1/14^7 and 9^-13 is equivalent to 1/9^13.

Simplifying further by multiplying the exponents, the expression becomes 1/(14^7 * 9^13).

However, this is not one of the answer choices provided. Therefore, from the given options, there is no equivalent expression with only positive exponents to 14^-79^-13.